Introduction to the Hamiltonian formalism of general relativity applied to cosmology: on step away from the quantization

• Grant number: 16/19753-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: December 01, 2016
• End date: November 30, 2017
• Field of knowledge: Physical Sciences and Mathematics - Physics
• Principal Investigator: João Paulo Pitelli Manoel
• Grantee: Thiago Américo da Silva Cardoso
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 13/09357-9 - Physics and geometry of spacetime, AP.TEM

Abstract

In this project, the student will be introduced to the Hamiltonian formalism of General Relativity through a cosmological model. In order to achieve this goal, the student will study the Arnowitt-Deser-Misner decomposition of space-time and the Hamiltonian formalism of a perfect fluid coupled to gravity. In this way, the student will find and solve Friedmann equations from a different perspective than Eisntein equation. The applicant will also find himself one step away from quantum cosmology. (AU)